{"id":"https://openalex.org/W2806430305","doi":"https://doi.org/10.1007/978-981-10-6571-2_162","title":"Uncertainty Principle of the Special Affine Fourier Transform for Discrete Signals","display_name":"Uncertainty Principle of the Special Affine Fourier Transform for Discrete Signals","publication_year":2018,"publication_date":"2018-06-06","ids":{"openalex":"https://openalex.org/W2806430305","doi":"https://doi.org/10.1007/978-981-10-6571-2_162","mag":"2806430305"},"language":"en","primary_location":{"id":"doi:10.1007/978-981-10-6571-2_162","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-981-10-6571-2_162","pdf_url":null,"source":{"id":"https://openalex.org/S4210179954","display_name":"Lecture notes in electrical engineering","issn_l":"1876-1100","issn":["1876-1100","1876-1119"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Electrical Engineering","raw_type":"book-chapter"},"type":"conference-paper","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5086875583","display_name":"Mo Han","orcid":"https://orcid.org/0000-0003-0734-8256"},"institutions":[{"id":"https://openalex.org/I204983213","display_name":"Harbin Institute of Technology","ror":"https://ror.org/01yqg2h08","country_code":"CN","type":"education","lineage":["https://openalex.org/I204983213"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Mo Han","raw_affiliation_strings":["Communication Research Center, Harbin Institute of Technology, Harbin, 150001, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Communication Research Center, Harbin Institute of Technology, Harbin, 150001, China","institution_ids":["https://openalex.org/I204983213"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5032530028","display_name":"Jun Shi","orcid":"https://orcid.org/0000-0001-6194-4433"},"institutions":[{"id":"https://openalex.org/I204983213","display_name":"Harbin Institute of Technology","ror":"https://ror.org/01yqg2h08","country_code":"CN","type":"education","lineage":["https://openalex.org/I204983213"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jun Shi","raw_affiliation_strings":["Communication Research Center, Harbin Institute of Technology, Harbin, 150001, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Communication Research Center, Harbin Institute of Technology, Harbin, 150001, China","institution_ids":["https://openalex.org/I204983213"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5083179738","display_name":"Xuejun Sha","orcid":"https://orcid.org/0000-0002-6204-0839"},"institutions":[{"id":"https://openalex.org/I204983213","display_name":"Harbin Institute of Technology","ror":"https://ror.org/01yqg2h08","country_code":"CN","type":"education","lineage":["https://openalex.org/I204983213"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xuejun Sha","raw_affiliation_strings":["Communication Research Center, Harbin Institute of Technology, Harbin, 150001, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Communication Research Center, Harbin Institute of Technology, Harbin, 150001, China","institution_ids":["https://openalex.org/I204983213"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5006740084","display_name":"Min Jia","orcid":"https://orcid.org/0000-0003-3551-8654"},"institutions":[{"id":"https://openalex.org/I204983213","display_name":"Harbin Institute of Technology","ror":"https://ror.org/01yqg2h08","country_code":"CN","type":"education","lineage":["https://openalex.org/I204983213"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Min Jia","raw_affiliation_strings":["Communication Research Center, Harbin Institute of Technology, Harbin, 150001, China","Harbin Institute of Technology, Harbin, Heilongjiang, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Communication Research Center, Harbin Institute of Technology, Harbin, 150001, China","institution_ids":["https://openalex.org/I204983213"]},{"raw_affiliation_string":"Harbin Institute of Technology, Harbin, Heilongjiang, China","institution_ids":["https://openalex.org/I204983213"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100746646","display_name":"Qingzhong Li","orcid":"https://orcid.org/0000-0003-1486-6772"},"institutions":[{"id":"https://openalex.org/I4210158151","display_name":"Heilongjiang Electric Power Workers University","ror":"https://ror.org/05hxcq922","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210158151"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Qingzhong Li","raw_affiliation_strings":["State Grid Heilongjiang Electric Power Company, Limited Information and Communication Company, Harbin, 150090, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"State Grid Heilongjiang Electric Power Company, Limited Information and Communication Company, Harbin, 150090, China","institution_ids":["https://openalex.org/I4210158151"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5103452615","display_name":"Naitong Zhang","orcid":null},"institutions":[{"id":"https://openalex.org/I204983213","display_name":"Harbin Institute of Technology","ror":"https://ror.org/01yqg2h08","country_code":"CN","type":"education","lineage":["https://openalex.org/I204983213"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Naitong Zhang","raw_affiliation_strings":["Communication Research Center, Harbin Institute of Technology, Harbin, 150001, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Communication Research Center, Harbin Institute of Technology, Harbin, 150001, China","institution_ids":["https://openalex.org/I204983213"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"1351","last_page":"1358"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11210","display_name":"Mathematical Analysis and Transform Methods","score":0.9995999932289124,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11210","display_name":"Mathematical Analysis and Transform Methods","score":0.9995999932289124,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10688","display_name":"Image and Signal Denoising Methods","score":0.9972000122070312,"subfield":{"id":"https://openalex.org/subfields/1707","display_name":"Computer Vision and Pattern Recognition"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11034","display_name":"Digital Filter Design and Implementation","score":0.9937000274658203,"subfield":{"id":"https://openalex.org/subfields/1711","display_name":"Signal Processing"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/uncertainty-principle","display_name":"Uncertainty principle","score":0.7525768280029297},{"id":"https://openalex.org/keywords/signal","display_name":"SIGNAL (programming language)","score":0.6033191680908203},{"id":"https://openalex.org/keywords/affine-transformation","display_name":"Affine transformation","score":0.5987592935562134},{"id":"https://openalex.org/keywords/fourier-transform","display_name":"Fourier transform","score":0.5951346158981323},{"id":"https://openalex.org/keywords/discrete-time-signal","display_name":"Discrete-time signal","score":0.5924135446548462},{"id":"https://openalex.org/keywords/discrete-fourier-transform","display_name":"Discrete Fourier transform (general)","score":0.5488640666007996},{"id":"https://openalex.org/keywords/product","display_name":"Product (mathematics)","score":0.508094310760498},{"id":"https://openalex.org/keywords/signal-processing","display_name":"Signal processing","score":0.5070624351501465},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4963253140449524},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4236929714679718},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.37578117847442627},{"id":"https://openalex.org/keywords/fourier-analysis","display_name":"Fourier analysis","score":0.3326232433319092},{"id":"https://openalex.org/keywords/digital-signal-processing","display_name":"Digital signal processing","score":0.263693630695343},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.25998908281326294},{"id":"https://openalex.org/keywords/fractional-fourier-transform","display_name":"Fractional Fourier transform","score":0.23030725121498108},{"id":"https://openalex.org/keywords/analog-signal","display_name":"Analog signal","score":0.22400224208831787},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.17020419239997864},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.16063961386680603},{"id":"https://openalex.org/keywords/signal-transfer-function","display_name":"Signal transfer function","score":0.11351984739303589},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.06786632537841797}],"concepts":[{"id":"https://openalex.org/C181543814","wikidata":"https://www.wikidata.org/wiki/Q44746","display_name":"Uncertainty principle","level":3,"score":0.7525768280029297},{"id":"https://openalex.org/C2779843651","wikidata":"https://www.wikidata.org/wiki/Q7390335","display_name":"SIGNAL (programming language)","level":2,"score":0.6033191680908203},{"id":"https://openalex.org/C92757383","wikidata":"https://www.wikidata.org/wiki/Q382497","display_name":"Affine transformation","level":2,"score":0.5987592935562134},{"id":"https://openalex.org/C102519508","wikidata":"https://www.wikidata.org/wiki/Q6520159","display_name":"Fourier transform","level":2,"score":0.5951346158981323},{"id":"https://openalex.org/C146749787","wikidata":"https://www.wikidata.org/wiki/Q15963867","display_name":"Discrete-time signal","level":5,"score":0.5924135446548462},{"id":"https://openalex.org/C57733114","wikidata":"https://www.wikidata.org/wiki/Q1006032","display_name":"Discrete Fourier transform (general)","level":5,"score":0.5488640666007996},{"id":"https://openalex.org/C90673727","wikidata":"https://www.wikidata.org/wiki/Q901718","display_name":"Product (mathematics)","level":2,"score":0.508094310760498},{"id":"https://openalex.org/C104267543","wikidata":"https://www.wikidata.org/wiki/Q208163","display_name":"Signal processing","level":3,"score":0.5070624351501465},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4963253140449524},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4236929714679718},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.37578117847442627},{"id":"https://openalex.org/C203024314","wikidata":"https://www.wikidata.org/wiki/Q1365258","display_name":"Fourier analysis","level":3,"score":0.3326232433319092},{"id":"https://openalex.org/C84462506","wikidata":"https://www.wikidata.org/wiki/Q173142","display_name":"Digital signal processing","level":2,"score":0.263693630695343},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.25998908281326294},{"id":"https://openalex.org/C76563020","wikidata":"https://www.wikidata.org/wiki/Q4817582","display_name":"Fractional Fourier transform","level":4,"score":0.23030725121498108},{"id":"https://openalex.org/C13412647","wikidata":"https://www.wikidata.org/wiki/Q174948","display_name":"Analog signal","level":3,"score":0.22400224208831787},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.17020419239997864},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.16063961386680603},{"id":"https://openalex.org/C131021393","wikidata":"https://www.wikidata.org/wiki/Q7512759","display_name":"Signal transfer function","level":4,"score":0.11351984739303589},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.06786632537841797},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C9390403","wikidata":"https://www.wikidata.org/wiki/Q3966","display_name":"Computer hardware","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/978-981-10-6571-2_162","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-981-10-6571-2_162","pdf_url":null,"source":{"id":"https://openalex.org/S4210179954","display_name":"Lecture notes in electrical engineering","issn_l":"1876-1100","issn":["1876-1100","1876-1119"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Electrical Engineering","raw_type":"book-chapter"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":14,"referenced_works":["https://openalex.org/W1976640663","https://openalex.org/W1992677087","https://openalex.org/W1997203235","https://openalex.org/W2036731152","https://openalex.org/W2061060655","https://openalex.org/W2076022265","https://openalex.org/W2087982633","https://openalex.org/W2101972378","https://openalex.org/W2123006872","https://openalex.org/W2188563164","https://openalex.org/W2194174148","https://openalex.org/W2406509173","https://openalex.org/W3151807103","https://openalex.org/W6607058328"],"related_works":["https://openalex.org/W80123797","https://openalex.org/W4353087863","https://openalex.org/W991365525","https://openalex.org/W3166675296","https://openalex.org/W1551220745","https://openalex.org/W2801154423","https://openalex.org/W2984023470","https://openalex.org/W2154898175","https://openalex.org/W2170755202","https://openalex.org/W4295678671"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2026-07-14T23:27:15.235271","created_date":"2025-10-10T00:00:00"}
